A cantilever beam of length 2 m has a rectangular cross section 100 mm wide and 200 mm deep.The beam is subjected to an axial tensile load, P, and a vertically downward uniformly distributedload of intensity w. A rectangular strain gauge rosette attached to a vertical side of the beam at thebuilt-in end and in the neutral plane of the beam recorded the following values of strain:€a = 1000x10-6, Eb, = 100×10-6, ɛc=-300×10-6. The arm 'a' of the rosette is aligned withthe longitudinal axis of the beam while the arm 'c' is perpendicular to the longitudinal axis.Calculate the value of Poisson's ratio, the principal strains at the point and hence the values of Pand w. Young's modulus, E=200 000 N/mm².Ans. v=0.3, ɛ = 1046.4 x 10-6, ɛ1 = -346.4 x 10-6, w=255.3 kN/m.%3D

Rectangular strain gauge rosette also called as 45° strain gauge rosetteHere Qa=0° [from…

A cantilever beam of length 2 m has a rectangular cross section 100 mm wide and 200 mm deep. The beam is subjected to an axial tensile load, P, and a vertically downward uniformly distributed load of intensity w. A rectangular strain gauge rosette attached to a vertical side of the beam at the built-in end and in the neutral plane of the beam recorded the following values of strain: €,= 1000×10-6, eb, = 100×10-6, ec=-300×10-C. The arm 'a' of the rosette is aligned with the longitudinal axis of the beam while the arm 'c' is perpendicular to the longitudinal axis. Calculate the value of Poisson's ratio, the principal strains at the point and hence the values of P and w. Young's modulus, E=200 000 N/mm². Ans. v=0.3, ɛ1 = 1046.4 × 10-6, ɛ1 = -346.4 × 10-6, w=255.3 kN/m.

A cantilever beam of length 2 m has a rectangular cross section 100 mm wide and 200 mm deep. The beam is subjected to an axial tensile load, P, and a vertically downward uniformly distributed load of intensity w. A rectangular strain gauge rosette attached to a vertical side of the beam at the built-in end and in the neutral plane of the beam recorded the following values of strain: €,= 1000×10-6, eb, = 100×10-6, ec=-300×10-C. The arm 'a' of the rosette is aligned with the longitudinal axis of the beam while the arm 'c' is perpendicular to the longitudinal axis. Calculate the value of Poisson's ratio, the principal strains at the point and hence the values of P and w. Young's modulus, E=200 000 N/mm². Ans. v=0.3, ɛ1 = 1046.4 × 10-6, ɛ1 = -346.4 × 10-6, w=255.3 kN/m.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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